Question 550003
[{{{(81-X^2)^(1/2)}}}+{{{4X^2(81-X^2)^(-1/2)}}}]/{{{81-X^2}}} = 
[{{{(81-X^2)^(1/2)}}}+{{{4X^2/(81-X^2)^(1/2)}}}]/{{{81-X^2}}} = 
[{{{(81-X^2)/(81-X^2)^(1/2)}}}+{{{4X^2/(81-X^2)^(1/2)}}}]/{{{81-X^2}}} = 
{{{(81-X^2+4X^2)/(81-X^2)^(1/2)}}}/{{{81-X^2}}} = 
{{{((81-X^2+4X^2)/(81-X^2)^(1/2))*(1/(81-X^2))}}} = 
{{{(81+3X^2)/((81-X^2)^(1/2)*(81-X^2))}}} = {{{(81+3X^2)/(81-X^2)^(3/2)}}}
PS Congratulations on the skillful rendering of your rational expression!